# Limit problem SQRT

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1. Sep 16, 2015

### Niaboc67

1. The problem statement, all variables and given/known data
Determine if the limit exists as a number, ∞, -∞ or DNE
lim x->4- -(2)/(sqrt(4-x))

3. The attempt at a solution
lim x->4-....

I honestly don't know how to solve. Because I don't know what to do with the sqrt function. If someone could lead me in the right direction here that would be great.
Thank you

Last edited by a moderator: Sep 16, 2015
2. Sep 16, 2015

### Staff: Mentor

This is actually pretty straightforward. The numerator doesn't change. What happens to the denominator as x gets closer to 4 from the left?

3. Sep 16, 2015

### Niaboc67

Looks like it's getting smaller and smaller from this graph I am looking at for 1/sqrt(x)?

4. Sep 17, 2015

### Staff: Mentor

Can you be more specific? x is approaching 4 from the left.
What is the overall fraction doing?

5. Sep 17, 2015

### Niaboc67

I solved it. It was lim as x approaches 4 from the negative side. so I put it must be something like -2/sqrt(4-3.9999) so inf digits and therefore, -inf

6. Sep 20, 2015

### verty

Yes and that is exactly how you want to think about it.